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A rectangular box lies on a rough inclin...

A rectangular box lies on a rough inclined surface . The coefficient of friction between the surface and the box is `mu`. Let the mass of the box be m .
(a) At what angle of inclination `theta` of the plane to the horizontal will the box just start to slide down the plane ?
(b) What is the force acting on the box down the plane , if the angle of inclination of the plane is increased to `alpha gt theta` ?
(c) What is the force needed to be applied upwards along the plane to make the box either remain stationary or just move up with uniform speed ?
(d) What is the force needed to be applied upwards along the plane to make the box move up the plane with acceleration a ?

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